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Finding the Third Proportional to 580,716.84 and 885,837.52

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Solution

The third proportional to 580,716.84 and 885,837.52 is: 1,351,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,716.84 : 885,837.52 = 885,837.52 : x
  2. Step 2: Convert to fraction form
    580,716.84/885,837.52 = 885,837.52/x
  3. Step 3: Cross multiply
    580,716.84x = 885,837.52 × 885,837.52
  4. Step 4: Simplify right side
    580,716.84x = 784,708,104,088.67
  5. Step 5: Solve for x
    x = 784,708,104,088.67/580,716.84
  6. Step 6: Final answer
    x = 1,351,274.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.